| Description |
1 online resource (v, 85 pages) : color illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; no. 1054 |
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Memoirs of the American Mathematical Society ; no 1054.
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| Contents |
Chapter 1. Introduction Chapter 2. Basic definitions and facts Chapter 3. Statement of theorems Chapter 4. Invariant manifolds Chapter 5. Canonical form of equations around the limit cycle Chapter 6. Preliminary estimates on solutions of the unforced equation Chapter 7. Time-$T$ map of forced equation and derived 2-D system Chapter 8. Strange attractors with SRB measures Chapter 9. Application: The Brusselator Appendix A. Proofs of Propositions 3.1-3.3 Appendix B. Proof of Proposition 7.5 Appendix C. Proofs of Proposition 8.1 and Lemma 8.2 |
| Summary |
"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given."--Page v |
| Notes |
"July 2013, Volume 224, Number 1054 (third of 4 numbers)." |
| Bibliography |
Includes bibliographical references (pages 83-85) |
| Notes |
Print version record |
| Subject |
Attractors (Mathematics)
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Differential equations, Parabolic.
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Periodic functions.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Attractors (Mathematics)
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Differential equations, Parabolic
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Periodic functions
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| Form |
Electronic book
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| Author |
Wang, Qiudong, 1962- author.
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Young, L.-S. (Lai-Sang), author.
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| LC no. |
2013006850 |
| ISBN |
9781470410056 |
|
1470410052 |
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